Smart Way of Learning Math

Free Practice 7.G.A.1 – 9011801

On a blueprint, $4$ inches correspond to $3$ feet. The size of living room on the blueprint is $6$ inches by $5$ inches. What is the actual size of the living room?A. $4.5$ ft by $3.75$ ftA. $4.5$ ft by $3.75$ ftB. $27$ ft by $23$ ftC. $9$ ft by $8$ ftD. $24$ ft by $20$ ftE. $10.5$ ft by $8.75$ ft

1. Let the actual size of the living room be $x$ feet by $y$ feet. Because $4$ inches corresponds to $3$ feet, we can set up the ratio $\displaystyle \frac{4}{3} = \frac{6}{x}$. Therefore, $\displaystyle x = \frac{{3}\times {6}}{4} = \frac{18}{4}=4.5$. Similarly, $\displaystyle \frac{4}{3} = \frac{5}{y}$, so $y = 3.75$. Therefore, the actual size of the living room is $4.5$ feet by $3.75$ feet. No More Steps